Geodesic
Lattices of order-convex sets
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 3, pp. 85-94

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We give a characterization of the class of lattices isomorphic to convexity lattices of posets of finite length. Besides that, we describe the class of finite lattices isomorphic to convexity lattices of $n$-ary forests for any integer $n > 1$.
Keywords: lattice, poset, order-convex, length, forest, tree. 
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     author = {T. C.-D. Batueva},
     title = {Lattices of order-convex sets},
     journal = {Sibirskij \v{z}urnal \v{c}istoj i prikladnoj matematiki},
     pages = {85--94},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VNGU_2011_11_3_a5/}
}
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T. C.-D. Batueva. Lattices of order-convex sets. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 3, pp. 85-94. http://geodesic.mathdoc.fr/item/VNGU_2011_11_3_a5/